Question

A proportional relationship between the number of pounds of cabbage (x) and the price in dollars (y) is graphed, and the ordered pair (5, 2) is on the graphed line.

Part A: What is the price of 1 pound of cabbage? Show your work, including the proportion you used to determine the price.
Part B: What does the ordered pair (10, 4) on the graph represent? Explain in words.

Answer 1

when they say proportion, think ratios (i.e fractions)

for example, the (5,2) means 5 pounds of cabbage and it cost 2 dollars
write that as a fraction
\[ \frac{ 5 \ pounds}{2 \ dollars}\]

next , to answer
Part A: What is the price of 1 pound of cabbage?

we write another ratio
1 pound / y dollars (we don't know what y is

Answer 2

set the ratios equal to each other
\[ \frac{ 5 \ pounds}{2 \ dollars} = \frac{1 \ pound}{y} \]
to solve for y, I would "flip" both sides , like this:
\[ \frac{2 \ dollars}{ 5 \ pounds} = \frac{y} {1 \ pound} \]

Answer 3

Ok i got that part @phi

Answer 4

how do i do the rest @welshfella

Answer 5

@Awolflover1